对均值不等式的认识

On Mean Inequality

本文以认识均值不等式为例,从数学基本概念、基本方法、基本策略入手,对均值不等式进行解析,得出了多种证明方法.并以此说明,运用基本概念、基本方法、基本策略来认识数学知识,解决数学问题是培养数学核心素养的关键.

Taking the mean inequality as an example,starting with the basic concepts,methods and strategies of mathematics,the paper analyses the mean inequality and obtains various proof methods.It also explains that it is necessary to use basic concepts,methods and strategies to understand mathematical knowledge and solve mathematical problems so as to cultivate the core quality of mathematics.